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Finding the Fourth Proportional to 454,585.50, 683,373.10 and 421,702.54

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Solution

The fourth proportional to 454,585.50, 683,373.10 and 421,702.54 is: 633,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,585.50 : 683,373.10 = 421,702.54 : x
  2. Step 2: Convert to fraction form
    454,585.50/683,373.10 = 421,702.54/x
  3. Step 3: Cross multiply
    454,585.50x = 683,373.10 × 421,702.54
  4. Step 4: Simplify right side
    454,585.50x = 288,180,168,620.81
  5. Step 5: Solve for x
    x = 288,180,168,620.81/454,585.50
  6. Step 6: Final answer
    x = 633,940.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.